Space-variant deblurring in astronomy and biomedical imaging

This topic addresses the problem of image deblurring when the point spread function (PSF) is spatially variant. In 3D microscopy (e.g., wide field fluorescence microscopy or confocal microscopy) or observation of wide fields in astronomy, PSF vary significantly.

illus deconv

Image deblurring is essential to high resolution imaging and is therefore widely used in astronomy, microscopy or computational photography. While shift-invariant blur is modeled by convolution and leads to fast FFT-based algorithms, shift-variant blurring requires models both accurate and fast. When the point spread function (PSF) varies smoothly across the field, these two opposite objectives can be reached by interpolating from a grid of PSF samples.

Key idea(s)

We developped a physically grounded model for PSF modeling that leads to a fast and accurate shift-variant blurring operator.


We applied our model to simulations of Hubble Space Telescope data and shown good reconstruction performance.


Fast approximations of shift-variant blur
Loïc Denis, Éric Thiébaut, Ferréol Soulez, Jean-Marie Becker & Rahul Mourya to appear in International Journal of Computer Vision (2015); hal:ujm-00979825 pdf

Fast model of space-variant blurring and its application to deconvolution in astronomy
L. Denis, E. Thiébaut, and F. Soulez, IEEE International Conference on Image Processing (ICIP), Brussels, (Belgium, September 2011); pdf,poster